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Finding the Third Proportional to 119,474 and 176,469

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Solution

The third proportional to 119,474 and 176,469 is: 260,653.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,474 : 176,469 = 176,469 : x
  2. Step 2: Convert to fraction form
    119,474/176,469 = 176,469/x
  3. Step 3: Cross multiply
    119,474x = 176,469 × 176,469
  4. Step 4: Simplify right side
    119,474x = 31,141,307,961
  5. Step 5: Solve for x
    x = 31,141,307,961/119,474
  6. Step 6: Final answer
    x = 260,653.43

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.